Question

newton's second law
derive f=ma​

Answer 1

Derive F=ma

According to the Newton’s 2nd Law of motion, the rate of change of linear momentum of a body is directly proportional to the applied external force and in the direction of force.

It means that the linear momentum will change faster when a bigger force is applied.

Consider a body of mass ‘m’ moving with velocity v.

The linear momentum of a body is given by:

p = mv

Now According to Newton’s 2nd Law of Motion:

Force is directly proportional to rate of change of momnetum, that is

F α dp/dt

F = k dp/dt

F = k d(mv)/dt

F = k md(v)/dt

F = k ma

Experimentally, k =1

F=ma

Answered by an expert,

Brainly.in

Answer 2

Answer:

Its logical derive since it impossible to derive the formula unless we checked experimentally

But if f and a are directly prop then their ratio has to be const for particle moving with the speed lower than the speed of light thus

F/a=const=mass

F=mass*acc

these is my point  

Explanation: